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Finding the Third Proportional to 128,767.69 and 189,428.81

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Solution

The third proportional to 128,767.69 and 189,428.81 is: 278,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.69 : 189,428.81 = 189,428.81 : x
  2. Step 2: Convert to fraction form
    128,767.69/189,428.81 = 189,428.81/x
  3. Step 3: Cross multiply
    128,767.69x = 189,428.81 × 189,428.81
  4. Step 4: Simplify right side
    128,767.69x = 35,883,275,005.16
  5. Step 5: Solve for x
    x = 35,883,275,005.16/128,767.69
  6. Step 6: Final answer
    x = 278,666.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.